Imagine that two oil companies Big Petro Inc and Gargantuan

Imagine that two oil companies, Big Petro Inc. and Gargantuan Gas, own adjacent oil fields. Under the fields is a common pool of oil worth $48 million. Drilling a well to recover oil costs $2 million per well. If each company drills one well, each will get half of the oil and earn a $22 million profit ($24 million in revenue - $2 million in costs). Assume that having X percent of the total wells means that a company will collect X percent of the total revenue. Given this information, what is the Nash Equilibrium?

Both companies drill two wells and earn $20 million profit

Big Petro drills two wells and earns $28 million profit, while Gargantuan drills one well and earns $14 million profit

Gargantuan drills two wells and earns $28 million profit, while Big Petro drills one well and earns $14 million profit

Both companies drill one well and earn $22 million profit

A.

Both companies drill two wells and earn $20 million profit

B.

Big Petro drills two wells and earns $28 million profit, while Gargantuan drills one well and earns $14 million profit

C.

Gargantuan drills two wells and earns $28 million profit, while Big Petro drills one well and earns $14 million profit

D.

Both companies drill one well and earn $22 million profit

Solution

Ans is A

Both companies will drill two wells and earn $20million because nash equilibrium is a strategy set where each player plays his/her strategy given the startegy of other player.

Because oif both vomoanies decide to drill one well then one can increase the reveneue by drilling second well.

Imagine that two oil companies, Big Petro Inc. and Gargantuan Gas, own adjacent oil fields. Under the fields is a common pool of oil worth $48 million. Drilling

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